arXiv subjects

Emmanouil Androulakis

Publications and source records attributed to Emmanouil Androulakis.

2 recordsLinked to original sources

arXiv2025

On the E(s^2)-optimality of two-level supersaturated designs constructed using Wu's method of partially aliased interactions on certain two-level orthogonal arrays

Wu [10] proposed a method for constructing two-level supersaturated designs by using a Hadamard design with n runs and n-1 columns as a staring design and by supplementing it with two-column interactions, as long as they are partially aliased. Bulutoglu and Cheng [2] proved that this method results in E(s^2)-optimal supersaturated designs when certain interaction columns are selected. In this paper, we extend these results and prove E(s^2)-optimality for supersaturated designs that are constructed using Wu's method when the starting design is any orthogonal array with n runs and n-1, n-2 or n-3 columns, as long as its main effects and two-column interactions are partially aliased with two-column interactions.

stat.ME↗

arXiv2025

Barycentric model aggregation in the Wasserstein space of distributions and a variational approach to consistency

We study the problem of model aggregation within the Wasserstein space for probability measures on the real line. Given a fixed finite collection of candidate probability models, we consider the associated class of Wasserstein barycenters and develop a data-driven calibration framework in which the aggregation weights are statistically learned from empirical information associated with a target distribution. From a variational perspective based on $\Gamma$-convergence, we establish consistency of the resulting aggregation scheme, showing that empirical minimizers converge to the minimizers of the actual problem, along with the associated barycentric estimators, under mild conditions. The performance of the proposed method is evaluated through synthetic experiments and illustrated on a real dataset from a temperature monitoring network of sensors.

stat.ME↗